Chaotic Dynamics Analysis for a Class of Delay Nonlinear Finance Systems

This article focuses on a class of nonlinear chaotic finance model with feedback control problem. The dynamic responses of the delayed finance system were analyzed and the chaos control problems were considerd. The main work consists of three steps: (i) for a financial system model with the delayed feedback control, the fixed point was obtained, and a new system was obtained by shifting the fixed point to the coordinate origin; (ii) the delayed term was added to the new system, the characteristic equation of the new system was solved, and the distribution of the characteristic equation roots was analyzed. Since the system with time delay undergoes Hopf bifurcation at the equilibrium point under certain conditions, and the fixed point exists stability switching phenomenon, then the intervals of the stable and unstable fixed point were specifically given; (iii) the stable periodic solution and the stable fixed point were simulated under a set of specific parameters, therefore the previous theoretical results obtained by numerical simulation were verified